A reformulation of the nonsmooth approaches of M. Frémond and J.J. Moreau for rigid body dynamics
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DOI: 10.1002/mma.5367
Abstract: This paper deals with the nonsmooth dynamics of a rigid bodies system. The proposed theory is inspired by the formalism of J.J. Moreau and that of M. Frémond and relies on the notion of percussion… read more here.
Keywords: nonsmooth approaches; approaches mond; rigid body; reformulation nonsmooth ... See more keywords
A parameter‐preadjusted energy‐conserving integration for rigid body dynamics in terms of convected base vectors
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DOI: 10.1002/nme.6500
Abstract: Energy‐conserving integrations are widely used in long‐time simulations of mechanical systems because they exhibit excellent stability and conserve the discrete energy in conservative systems. However, in many applications, their errors of other quantities, for example,… read more here.
Keywords: energy; rigid body; energy conserving; conserving integration ... See more keywords
Guaranteed cost control of rigid‐body attitude systems under control saturation
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DOI: 10.1002/rnc.5397
Abstract: This article investigates the guaranteed cost control (GCC) problem of nonlinear rigid‐body attitude systems subject to control saturation. A novel methodology is proposed, by which the nonlinearities inherent in the attitude dynamics are effectively accounted… read more here.
Keywords: rigid body; methodology; guaranteed cost; cost control ... See more keywords
On the stability of the permanent rotations of a charged rigid body-gyrostat
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DOI: 10.1007/s00707-017-1927-z
Abstract: We consider the motion of a charged rigid body about a fixed point carrying a rotor that is attached along one of the principal axes of the body. This motion occurs under the action of… read more here.
Keywords: rigid body; motion; stability permanent; charged rigid ... See more keywords
RBDL: an efficient rigid-body dynamics library using recursive algorithms
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DOI: 10.1007/s10514-016-9574-0
Abstract: In our research we use rigid-body dynamics and optimal control methods to generate 3-D whole-body walking motions. For the dynamics modeling and computation we created RBDL—the Rigid Body Dynamics Library. It is a self-contained free… read more here.
Keywords: rigid body; body dynamics; efficient rigid; rbdl efficient ... See more keywords
Bidirectional invariant representation of rigid body motions and its application to gesture recognition and reproduction
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DOI: 10.1007/s10514-017-9645-x
Abstract: In this paper we propose a new bidirectional invariant motion descriptor of a rigid body. The proposed invariant representation is not affected by rotations, translations, time, linear and angular scaling. Invariant properties of the proposed… read more here.
Keywords: rigid body; motion; invariant representation; bidirectional invariant ... See more keywords
A Small Solid Body with Large Density in a Planar Fluid is Negligible
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DOI: 10.1007/s10884-018-9718-3
Abstract: In this article, we consider a small rigid body moving in a viscous fluid filling the whole $$\mathbb R^2$$R2. We assume that the diameter of the rigid body goes to 0, that the initial velocity… read more here.
Keywords: rigid body; fluid; small solid; density ... See more keywords
Phase Portraits of Dynamical Equations of Motion of a Rigid Body in a Resistive Medium
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DOI: 10.1007/s10958-018-3935-5
Abstract: We consider a mathematical model of the influence of a medium on a rigid body with a specific shape of its surface. In this model, we take into account the additional dependence of the moment… read more here.
Keywords: rigid body; medium; equations motion; phase portraits ... See more keywords
On the application of KBM method for the 3-D motion of asymmetric rigid body
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DOI: 10.1007/s11071-017-3537-7
Abstract: This article aims to study the three-dimensional motion of a rigid body that rotates about one of its fixed points. The effects of both a Newtonian force field and a moment of a gyrostat are… read more here.
Keywords: rigid body; method motion; motion; kbm method ... See more keywords
Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques
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DOI: 10.1007/s11071-020-06195-0
Abstract: The paper develops an approximate solution to the system of Euler’s equations with additional perturbation term for dynamically symmetric rotating rigid body. The perturbed motions of a rigid body, close to Lagrange’s case, under the… read more here.
Keywords: body; perturbation torques; restoring perturbation; rigid body ... See more keywords
Dynamics of a rigid body in a two-dimensional incompressible perfect fluid and the zero-radius limit
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DOI: 10.1007/s11425-018-9505-8
Abstract: In this survey we report some recent results on the dynamics of a rigid body immersed in a two-dimensional incompressible perfect fluid, with an emphasis on the zero-radius limit. read more here.
Keywords: perfect fluid; incompressible perfect; dimensional incompressible; dynamics rigid ... See more keywords